Answer:
y = x
Step-by-step explanation:
The equation of a linear pattern has the form
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m =
with (x₁, y₁ ) = (1, ) and (x₂, y₂ ) = (2, 1) ← 2 ordered pairs from the table
m = = , thus
y = x + c ← is the partial equation
To find c use any ordered pair from the table and substitute into the partial equation.
Using (2, 1) , then
1 = 1 + c ⇒ c = 1 - 1 = 0
y = x + 0 ← equation for pattern or quite simply
y = x
It is called a ray.
segments have two end points. and a ray has one end point ad extends forever in one direction, and a line extends forever in both directions.
I'm not for sure but I think that it would be the first option <span />
Answer:
15 in - (1.25 in/hr)t
Step-by-step explanation:
L(t) is a function of time, t: L(t) = 15 in - (1.25 in/hr)t
Note that when the candle has burned down to nothing, L(t) = 0. How long does that take? Set 15 in - (1.25 in/hr)t equal to zero and solve for t:
(1.25 in/hr)t = 15 in, or
15 in
t = ---------------- = 12 hrs
1.25 in/hr
X³ + 216 = 0
x³ = 0 - 216
x³ = - 216 Take the cube root of both sides.
∛x³ = ∛-216
x = -6
Check:
x³ + 216 = 0, x = -6
(-6)³ + 216 = 0
-216 + 216 = 0
0 = 0 Correct.